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Math121Quiz4

# Math121Quiz4 - Math 121 Name QUIZ#4(SECTIONS 4.3 4.4 5.1...

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Math 121 Name: ________________________ QUIZ #4 (SECTIONS 4.3, 4.4, 5.1, 5.2) MATH 121 – FALL 2003 – KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% Show all work, simplify as appropriate, and use “good form and procedure” (as in class). Box in your final answers; write units where appropriate! No notes or books allowed. A scientific calculator is allowed. USE A SCIENTIFIC CALCULATOR! 1) Find the derivatives. Simplify where possible. (21 points total) a) Dx x ln 2 3 4 + () È Î Í ˘ ˚ ˙ (4 points) b) Dx x x 22 ln (8 points) c) De w w /9 (4 points) d) x xx 5 2 3 - (5 points)

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2) Let fx x x () = ln 3 . Simplify where possible: (13 points total) a) Find ¢ . b) Find ¢ f 1 . 3) Find the integrals. Simplify where possible. (35 points total) a) 53 2 2 xxd x +- Ú (7 points) b) xx d x 2 4 - Ú (7 points)
c) dx x 8 Ú (5 points) d) 27 3 4 x x dx + Ê Ë Á Á ˆ ¯ ˜ ˜ Ú (8 points) e) ed t t 04 . Ú (4 points) f) 7 3 x dx Ú (4 points)

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4) A deposit of \$3400 compounded continuously at 4% interest will grow to Vt e t () = 3400 004 . dollars after t years. Find the rate of growth after 5 years. Round off to two decimal places and write units. (7 points)
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Math121Quiz4 - Math 121 Name QUIZ#4(SECTIONS 4.3 4.4 5.1...

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